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VIDEO LIBRARY |
À.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
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Finite sufficiently non-periodic sequences V. G. Chirskiiabc a Lomonosov Moscow State University b Moscow State Pedagogical University c The Academy of National Economy under the Government of the Russian Federation |
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Abstract: The paper [1] presents an approach to the transformation of a periodic sequence of digits For practical purposes, we can take only finitely many digits of the infinite expansion so here we propose a way to measure the periodicity of a finite sequence. We also introduce the notion of a finite sufficiently non-periodic sequence and try to link it with the arithmetic properties of the considered numbers. [1] V.G. Chirskii, A.Yu. Nesterenko, An approach to the transformation of periodic sequences. Discrete Math. Appl. 27:1 (2017). P. 1 – 6. [2] V.G. Chirskii, Arithmetic properties of polyadic series with periodic coefficients. Doklady Math. 90:3 (2014). P. 766 – 768. Language: English |